Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems

This paper considers zonotopic fault detection observer design in the finite-frequency domain for discrete-time Takagi–Sugeno fuzzy systems with unknown but bounded disturbances and measurement noise. We present a novel fault detection observer structure, which is more general than the commonly used...

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Detalhes bibliográficos
Autores: Li, Jitao, Wang, Zhenhua, Shen, Yi, Wang, Ye
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2018
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositório:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/179664
Acesso em linha:http://hdl.handle.net/10261/179664
Access Level:Acceso aberto
Palavra-chave:Fault detection
Takagi–Sugeno fuzzy systems
Finite-frequency domain
Observer design
Zonotopes
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spelling Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systemsLi, JitaoWang, ZhenhuaShen, YiWang, YeFault detectionTakagi–Sugeno fuzzy systemsFinite-frequency domainObserver designZonotopesThis paper considers zonotopic fault detection observer design in the finite-frequency domain for discrete-time Takagi–Sugeno fuzzy systems with unknown but bounded disturbances and measurement noise. We present a novel fault detection observer structure, which is more general than the commonly used Luenberger form. To make the generated residual sensitive to faults and robust against disturbances, we develop a finite-frequency fault detection observer based on generalised Kalman–Yakubovich–Popov lemma and P-radius criterion. The design conditions are expressed in terms of linear matrix inequalities. The major merit of the proposed method is that residual evaluation can be easily implemented via zonotopic approach. Numerical examples are conducted to demonstrate the proposed method.This work was supported by National Natural Science Foundation of China [grant number 61773145, 61403104 ] and the Key Laboratory Opening Funds of Harbin Institute of Technology [grant HIT.KLOF.2018.073]Peer reviewedTaylor & FrancisNational Natural Science Foundation of ChinaHarbin Institute of Technology (China)Wang, Ye [0000-0003-1395-1676]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]201920192018info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/179664reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1080/00207721.2018.1535101Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1796642026-05-22T06:33:51Z
dc.title.none.fl_str_mv Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems
title Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems
spellingShingle Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems
Li, Jitao
Fault detection
Takagi–Sugeno fuzzy systems
Finite-frequency domain
Observer design
Zonotopes
title_short Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems
title_full Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems
title_fullStr Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems
title_full_unstemmed Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems
title_sort Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems
dc.creator.none.fl_str_mv Li, Jitao
Wang, Zhenhua
Shen, Yi
Wang, Ye
author Li, Jitao
author_facet Li, Jitao
Wang, Zhenhua
Shen, Yi
Wang, Ye
author_role author
author2 Wang, Zhenhua
Shen, Yi
Wang, Ye
author2_role author
author
author
dc.contributor.none.fl_str_mv National Natural Science Foundation of China
Harbin Institute of Technology (China)
Wang, Ye [0000-0003-1395-1676]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Fault detection
Takagi–Sugeno fuzzy systems
Finite-frequency domain
Observer design
Zonotopes
topic Fault detection
Takagi–Sugeno fuzzy systems
Finite-frequency domain
Observer design
Zonotopes
description This paper considers zonotopic fault detection observer design in the finite-frequency domain for discrete-time Takagi–Sugeno fuzzy systems with unknown but bounded disturbances and measurement noise. We present a novel fault detection observer structure, which is more general than the commonly used Luenberger form. To make the generated residual sensitive to faults and robust against disturbances, we develop a finite-frequency fault detection observer based on generalised Kalman–Yakubovich–Popov lemma and P-radius criterion. The design conditions are expressed in terms of linear matrix inequalities. The major merit of the proposed method is that residual evaluation can be easily implemented via zonotopic approach. Numerical examples are conducted to demonstrate the proposed method.
publishDate 2018
dc.date.none.fl_str_mv 2018
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/179664
url http://hdl.handle.net/10261/179664
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1080/00207721.2018.1535101

dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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